39
There are 15 values.
15
To find the missing number in a data set with a mean of 15, you need to know the total number of values (n) in the data set and the sum of the existing numbers. The mean is calculated as the sum of all values divided by n. If you have the sum of the existing numbers, you can rearrange the formula: missing number = (mean × n) - sum of existing numbers. Without additional information, the exact missing number cannot be determined.
Two different sets of data that each have six values and a mean of 21 could be: Set A: {18, 20, 21, 22, 23, 16} — The sum of these values is 126, and dividing by 6 gives a mean of 21. Set B: {15, 25, 20, 22, 23, 14} — This set also sums to 126, resulting in a mean of 21 when divided by 6. Both sets demonstrate that different combinations of numbers can yield the same mean.
39
There are 15 values.
The mean = The sum of all the values ÷ The number of values. 18 + 15 + 22 + 18 + 25 + 19 + 23 = 140 : Number of values = 7 Mean = 140 ÷ 7 = 20
15
The mean deviation or absolute mean deviation is the sum of the differences between data values and the mean, divided by the count. In this case the MAD is 6.
6.
To find the missing number in a data set with a mean of 15, you need to know the total number of values (n) in the data set and the sum of the existing numbers. The mean is calculated as the sum of all values divided by n. If you have the sum of the existing numbers, you can rearrange the formula: missing number = (mean × n) - sum of existing numbers. Without additional information, the exact missing number cannot be determined.
a. 39 b. 47 c. 49 d. 37
Two different sets of data that each have six values and a mean of 21 could be: Set A: {18, 20, 21, 22, 23, 16} — The sum of these values is 126, and dividing by 6 gives a mean of 21. Set B: {15, 25, 20, 22, 23, 14} — This set also sums to 126, resulting in a mean of 21 when divided by 6. Both sets demonstrate that different combinations of numbers can yield the same mean.
Ask the math teacher
Remember what each of these terms represent. Mean = Mathematical Average Median = Middle value (exactly half of values are above and below) Mode = Most frequent value There are multiple possible answers, however here is one: 13, 13, 15, 15, 19 The mean is: (13 + 13 + 15 + 15 + 19)/5 = 75/5 = 15 The middle value (the median) is 15. Another way to say this is that, if we were to list all the values as shown above there are two before 15 and two after 15; therefore the median is 15. In this data set the value 13 occurs twice, 15 occurs twice, and 19 occurs once. Both 13 and 15 occur the most frequently therefore they are both the mode.
15